Given: line BD is tangent to circle C.
Find m∠CEB.
A) 45°
B) 90°
C) 100°
D) 110°

Answer:
m∠CEB=90°
B is correct.
Step-by-step explanation:
Given: A line BD is tangent to circle C.
To prove: m∠CEB= ?
Proof:
CE is radius of circle because C is centre.
BD is tangent to circle.
Point E lie on tangent at touches the circle.
CE perpendicular to tangent.
Because radius of circle is perpendicular to tangent.
Therefore, CE⊥BD
If two line is perpendicular then they make 90° angle between them.
Hence, m∠CEB=90°